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This article is cited in 5 scientific papers (total in 5 papers)
Thompson subgroups and large abelian unipotent subgroups of Lie-type groups
Vladimir M. Levchuka, Galina S. Suleimanovab
a Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk, Russia
b Khakas Technical Institute, Abakan, Russia
Abstract:
Let $U$ be a unipotent radical of a Borel subgroup of a Lie-type group over a finite field. For the classical types the Thompson subgroups and large abelian subgroups of the group $U$ were found to the middle 1980's. We complete a solution of well-known problem of their description for the exceptional Lie-types.
Keywords:
Lie-type group, unipotent subgroup, large abelian subgroup, Thompson subgroup.
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UDC:
512.5
Received: 10.12.2012
Received in revised form: 11.12.2012
Accepted: 25.12.2012
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Citation:
Vladimir M. Levchuk, Galina S. Suleimanova, “Thompson subgroups and large abelian unipotent subgroups of Lie-type groups”, J. Sib. Fed. Univ. Math. Phys., 6:1 (2013), 63–73
Citation in format AMSBIB
\Bibitem{LevSul13}
\by Vladimir~M.~Levchuk, Galina~S.~Suleimanova
\paper Thompson subgroups and large abelian unipotent subgroups of Lie-type groups
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2013
\vol 6
\issue 1
\pages 63--73
\mathnet{http://mi.mathnet.ru/jsfu289}
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http://mi.mathnet.ru/eng/jsfu289 http://mi.mathnet.ru/eng/jsfu/v6/i1/p63
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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G. S. Suleimanova, “Bolshie elementarnye abelevy unipotentnye podgruppy grupp lieva tipa”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 6:2 (2013), 69–76
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E. A. Kirillova, G. S. Suleimanova, “Kommutativnye idealy naibolshei razmernosti niltreugolnoi podalgebry algebry Shevalle nad polem”, Tr. IMM UrO RAN, 24, no. 3, 2018, 98–108
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V. M. Levchuk, G. S. Suleimanova, “Obobschenie zadachi A. I. Maltseva o kommutativnykh podalgebrakh na algebry Shevalle”, Chebyshevskii sb., 19:3 (2018), 231–240
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E. A. Kirillova, “Generalized reduced Mal'tsev problem on commutative subalgebras of $E_6$ type Chevalley algebras over a field”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 29 (2019), 31–38
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Galina S. Suleimanova, “The highest dimension of commutative subalgebras in Chevalley algebras”, Zhurn. SFU. Ser. Matem. i fiz., 12:3 (2019), 351–354
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